Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Appendix A - Equations and Inequalities - Page 421: 82


$\frac{1}{2}$ $\geq$ $x$ or $x$ $\leq$ $\frac{1}{2}$ The equivalent interval notation is $(-\infty, \frac{1}{2}]$.

Work Step by Step

$\frac{2x - 5}{-8}$ $\leq$ $1 - x$ $2x - 5$ $\geq$ $-8(1 - x)$ Inequality sign reversed because of multiplication of -8 $2x - 5$ $\geq$ $-8 + 8x$ $8 - 5$ $\geq$ $8x - 2x$ $3$ $\geq$ $6x$ $\frac{3}{6}$ $\geq$ $x$ $\frac{1}{2}$ $\geq$ $x$ or $x$ $\leq$ $\frac{1}{2}$ The equivalent interval notation is $(-\infty, \frac{1}{2}]$.
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